Least Common Multiple of 142/681, 4974/3593

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 142/681, 4974/3593 quickly i.e. 353154 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 142/681, 4974/3593 is 353154.

LCM(142/681, 4974/3593) = 353154

LCM of 142/681, 4974/3593

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 142/681,4974/3593

Given numbers are 142/681,4974/3593

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 142,4974

Least Common Multiple of Numerators i.e. LCM of 142,4974 is 353154.

GCF of Denominators means GCF of 681,3593 as per the given fractions.

GCF of 681,3593 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 142,4974

LCM of Fractions 142/681,4974/3593 is 353154

2 142, 4974
71, 2487

∴ So the LCM of the given numbers is 2 x 71 x 2487 = 353154

Least Common Multiple of 142,4974 with GCF Formula

Least Common Multiple of 142,4974 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 142,4974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,4974) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(142,4974) x common factors =2 x 1 = 2

LCM(142,4974) = ( 142 × 4974 ) / 2

LCM(142,4974) = 706308 / 2

LCM(142,4974) = 353154


Lets's calculate GCF of 681,3593

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 353154/1

Therefore the LCM of Fractions 142/681,4974/3593 is 353154

Greatest Common Factor of 681,3593 By Matching Biggest Common Factor Method

Greatest Common Factor of 681,3593 By Matching Biggest Common Factor Method

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 3593

List of positive integer factors of 3593 that divides 3593 without a remainder.

1,3593

Greatest Common Factor

We found the factors 681,3593 . The biggest common factor number is the GCF number.
So the greatest common factor 681,3593 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 142/681, 4974/3593

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 142/681, 4974/3593?

Answer: LCM of Numerators as per given numbers 142/681, 4974/3593 is

LCM of Numerators i.e. for 142,4974 is 353154

GCF of denominators i.e. for 681,3593 is 1.

Thus, LCM of Fractions is 353154.Finally, LCM of Fractions for 142/681, 4974/3593 is 353154.